What is the Greatest Common Factor of 48220 and 48224?

Greatest common factor (GCF) of 48220 and 48224 is 4.

GCF(48220,48224) = 4

We will now calculate the prime factors of 48220 and 48224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48220 and 48224.

How to find the GCF of 48220 and 48224?

We will first find the prime factorization of 48220 and 48224. After we will calculate the factors of 48220 and 48224 and find the biggest common factor number .

Step-1: Prime Factorization of 48220

Prime factors of 48220 are 2, 5, 2411. Prime factorization of 48220 in exponential form is:

48220 = 2² × 5¹ × 2411¹

Step-2: Prime Factorization of 48224

Prime factors of 48224 are 2, 11, 137. Prime factorization of 48224 in exponential form is:

48224 = 2⁵ × 11¹ × 137¹

Step-3: Factors of 48220

List of positive integer factors of 48220 that divides 48220 without a remainder.

1, 2, 4, 5, 10, 20, 2411, 4822, 9644, 12055, 24110

Step-4: Factors of 48224

List of positive integer factors of 48224 that divides 48220 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 137, 176, 274, 352, 548, 1096, 1507, 2192, 3014, 4384, 6028, 12056, 24112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48220 and 48224. The biggest common factor number is the GCF number.
So the greatest common factor 48220 and 48224 is 4.

Also check out the Least Common Multiple of 48220 and 48224